The Coffee Counter charges ​$8.00 per pound for Kenyan French Roast coffee and ​$10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for ​$9.00 per​ pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for ​$9.00 per pound.

Answers

Answer 1

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9


Related Questions

What is the formula of a palindrome?​

Answers

Answer:

For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.

Which of the folloing pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7

Answers

Answer:

18/48 and 15/40

Step-by-step explanation:

18/48 = 3/8

15/40 = 3/8

•°• 18/48 is equivalent to 15/40

PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

9514 1404 393

Answer:

  (a) The decrease in the value of the truck, which is 12%

Step-by-step explanation:

The only reasonable choice among the offered answers is the one shown above.

__

We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.

There is a study on exercise and health: a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years. What kind of data collection is this?


Experiment

Survey

Simulation

Observational Study

Answers

Answer:

Survey Data Collection.

Step-by-step explanation:

This is a survey because there are survey questionnaires (wellness exam).

Answer:

Observational Study Is the Answer

Which statement is true regarding the graphed functions?

Answers

Answer:

I am pretty sure that it's the second one

A cone has a height of 3 feet. The diameter of the base is 8 feet. What is the approximate volume of the cone in feet to the nearest hundreth?

Answers

Answer:

12.56 feet cubed

Step-by-step explanation:

Diameter of 8= radius of 4

4 x 3.14=12.56

12.56x3=37.68

37.68/3=12.56

The answer is 12.6 feet cubed :)

1. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.​

Answers

An inverse function is y = k/x

replace x and y with the given values:

6 = k/18

Solve for k by multiplying both sides by 18:

k = 108

Problem Solving:-

1. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

Solution:-

[tex]\sf{The \: relation \: y \: varies \: inversely \: as \: x \: translates \: to \: y = \frac{k}{x}.}[/tex]

Substitute the values to find k:

[tex]\sf\rightarrow{y= \frac{k}{x} }[/tex]

[tex]\sf\rightarrow{6= \frac{k}{18} }[/tex]

[tex]\sf\rightarrow{k=(6)(18)}[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{108}}}[/tex]

Answer:-

[tex]\sf{The \: equation \: of \: variations \: is \: y={ \color{red}{ \frac{108}{x} }}}[/tex]

[tex]{\huge{\color{blue}{━━━━━━━━━━━━}}}[/tex]

#CarryOnMath⸙

Y=x^2-x what's the domaine and range

Answers

Answer:

y = 0 domain is all real numbers and range is 1 i believe

Step-by-step explanation:

hope this helps

A school principal wants to know more about the number of students absent each day. He counts the number of students absent each day for one week: {24, 18, 31,

Answers

Answer:

6.27

Step-by-step explanation:

We are to obtain the standard deviation of the given values :

{24, 18, 31,25, 34}

The standard deviation = √(Σ(x - mean)²/ n)

The mean = (ΣX) /n

Using calculator to save computation time :

The standard deviation, s = 6.27 (2 decimal places)

Which of these four sets of side lengths will form a right triangle? set 1 set 2 set 3 set 4

Answers

Answer:

hey um I cant see the picture

Given m||n, find the value of x.

Answers

X SHOULD be 131 because 180 is an straight line and 180-49=131. Then 49 is the other number on the other side of the x because of some rules.

For the matrices below. Find all (real) eigenvalues.

A= [7 9]
[0 9]

Answers

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

[tex]A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right][/tex]

Using formula:

[tex]|A-\lambda \cdot I|= 0\\\\[/tex]

[tex]\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\[/tex]

[tex]\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\[/tex]

Phân biệt giá cấp 2 được áp dụng đối với

Answers

Second-degree price discrimination occurs when a company charges a different price for different quantities consumed, such as quantity discounts on bulk purchases.

mark me brainliestt :))

On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.

170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806

1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures

2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.

Answers

Answer:

1.d. None of these measures  (do not exist interpreted as all of these exist)

2.The mean is increased from 346.8 to 361.32

Step-by-step explanation:

After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .

The mean is 346.8

The mode is 281

The median is 316

Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169.  The mean would be affected by the change.

The mean is 361.32

The mode is 281

The median is 316

The mean is increased from 346.8 to 361.32

The square below represents one whole.
What percent is represented by the shaded area?
%



The anwser is 6%

Answers

Answer:

the answer is 6%

hdhxbxcbxbxszznzj

Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?

Answers

Answer:

[tex]\$32[/tex]

Step-by-step explanation:

Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:

[tex]\frac{1}{4}x=8[/tex]

Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:

[tex]x=8\cdot 4=\boxed{\$32}[/tex]

What is it quadratic, radical, rational?

Answers

Answer:

quadratic formula is ur answer for letter B

I’ve been stuck on this problem I can’t seem to get 7 9/4 into the ABC form

Answers

Answer:

7 square root 9^4

Step-by-step explanation:

I need help with this problem

Answers

Answer:

x = 21, y = 40

Step-by-step explanation:

The angle above (7x - 13) is (2x + 4 ) ← alternate angle

(7x - 13) and (2x + 4) are adjacent angles and sum to 180° , then

7x - 13 + 2x + 4 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Then

2x + 4 = 2(21) + 4 = 42 + 4 = 46

(2x + 4) and (3y + 14) are adjacent angles and sum to 180° , so

46 + 3y + 14 = 180

60 + 3y = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

Can someone please answer this

Answers

Answer: 131m^2

Explanation: I checked with calculator!

(Y = 179x
(Y = 105x + 2046
Graph pls

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does a nice job of graphing these equations.

__

The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.

What is the value of log Subscript 5 Baseline 125?

Answers

Answer:

[tex]log_5 \ 125 = 3[/tex]

Step-by-step explanation:

[tex]log_5 \ 125 = log_2 \ 5^3 = 3 \times log_5 \ 5 = 3 \times 1 = 3[/tex]

The value of [tex]$\log _{5} 125$[/tex] can be estimated utilizing the logarithm rule. The value of [tex]$\log _{5} 125$[/tex] exists 3.

What is a logarithm?

The logarithm stands for the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.

Given:

[tex]$\log _{5} 125$[/tex]

Estimate the value of the given logarithm, we get

[tex]$\log _{5} 125=\log _{5}(5)^{3}$[/tex]

[tex]$\log _{5} 125=3 \log _{5} 5$[/tex]

From logarithm rule [tex]$\log m^{n}=n \log m$[/tex], we get

[tex]$\log _{5} 125=3 \times 1$[/tex]

[tex]$\log _{5} 125=3$[/tex]

Therefore, the value of [tex]$\log _{5} 125$[/tex] is 3.

To learn more about logarithm

https://brainly.com/question/26240264

#SPJ2

Find the Value of x

Answers

Answer:

42

Step-by-step explanation:

(adjacent straight angles sum up to 180)

3x+54=180

x=42

odd number less than 5​

Answers

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

Which expression is equivalent to (6x2 + 4)(x + 5) ?
A 6x2 + 20
B 6x2 + 16x + 20
C 603 + 30x2 + 4x + 20
D) 6x3 + 11x2 + 3x + 20​

Answers

Answer: [tex]6x^3 +30x^2 +4x+20[/tex]

Step-by-step explanation:

[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]

27. Find the length of the segment LK. (G.CO.C.10)
Show your work! (2pts)
J
1
3x
L
K
X + 6
Click to add speaker notes

Answers

Answer:

9

Step-by-step explanation:

the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.

so, both sides of the baseline must be equal :

3x = x + 6

2x = 6

x = 3

=> LK = x + 6 = 3 + 6 = 9

24×63_64
help me sll​

Answers

Answer:

1448

Step-by-step explanation:

24 × 63-64

Multiply 24 and 63 to get 1512.

1512-64

Subtract 64 from 1512 to get 1448.

answer

1448

The answer is 1448.....

Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309.Select the 98% confidence interval for Adam’s set of data.a. 46.94 to 71.33b. 46.94 to 79.46c. 55.45 to 79.46d. 55.45 to 70.95

Answers

Answer:

Option D, 55.45 to 70.95

Step-by-step explanation:

Alpha = 1 – confidence interval  

Alpha = 1 – 0.98 = 0.02

Sample size = n = 8

t (alpha/2) ; (n-1) = t (0.02/2) ; (8-1) = t 0.01, 7 = 2.998

Mean = sum of all frequencies /total number of frequency = 505.6/8 = 63.2

s = 7.309

E = t (0.01;7) * s/sqrt n

Substituting the given values, we get –  

E = 2.998 * 7.309 /sqrt  (8)

E = 7.75  

98% confidence interval  

Mean – E  and Mean + E

63.2 – 7.75 and 63.2 + 7.75  

(55.45, 70.95)

Answer: 55.45 to 70.95

Step-by-step explanation:

Khusbu needs 650 gm flour and 30 gm sugar to bake a cake. How much
flour and sugar does he need to bake same size of 6 cakes?​

Answers

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

What is the difference of the polynomials?
(5x^3 + 4x^2) - (6x^2 - 2x - 9)

Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9​

Answers

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

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